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Finding the Third Proportional to 531,386 and 1,149,604

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Solution

The third proportional to 531,386 and 1,149,604 is: 2,487,060.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,386 : 1,149,604 = 1,149,604 : x
  2. Step 2: Convert to fraction form
    531,386/1,149,604 = 1,149,604/x
  3. Step 3: Cross multiply
    531,386x = 1,149,604 × 1,149,604
  4. Step 4: Simplify right side
    531,386x = 1,321,589,356,816
  5. Step 5: Solve for x
    x = 1,321,589,356,816/531,386
  6. Step 6: Final answer
    x = 2,487,060.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.